In Fig. REF , the evolution of both the surface roughness \(W(t)\)  and the structure factor \(S(k,t)\)  are depicted, together with the data collapses corresponding to the scaling exponents of the tensionless KPZ equation [1]}, namely \(\alpha =1\) , \(\alpha _s=1/2\) , and \(z=1\) , hence \(\beta =1\) , which are accurate for large times prior to saturation to steady state. A random deposition-like [2]} regime [with \(\beta \simeq 0.62>1/2\)  and \(k\) -independent \(S(k)\) ] is observed at short times, as for the tensionless KPZ equation [1]}. In this case, the effective growth exponent is slightly larger than the exact random deposition value \(1/2\) . Morphologies for \(h(x,t)\)  profiles, for times in the random deposition, nonlinear growth, and steady state regimes are also depicted.
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